The Resource How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)

How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)

Label
How to Count : An Introduction to Combinatorics and Its Applications
Title
How to Count
Title remainder
An Introduction to Combinatorics and Its Applications
Statement of responsibility
by Robert A. Beeler
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra
http://library.link/vocab/creatorName
Beeler, Robert A
Image bit depth
0
LC call number
QA164-167.2
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Combinatorics
  • Distribution (Probability theory)
  • Mathematics
  • Combinatorics
  • Probability Theory and Stochastic Processes
Label
How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Basic Counting -- The Binomial Coefficient -- Distribution Problems -- Generating Functions -- Recurrence Relations -- Advanced Counting - Inclusion and Exclusion -- Advanced Counting - Polya Theory -- Application: Probability -- Application: Combinatorial Designs -- Application: Graph Theory -- Appendices
Dimensions
unknown
Extent
XV, 361 p. 61 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319138442
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13844-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13844-2
Label
How to Count : An Introduction to Combinatorics and Its Applications, by Robert A. Beeler, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Basic Counting -- The Binomial Coefficient -- Distribution Problems -- Generating Functions -- Recurrence Relations -- Advanced Counting - Inclusion and Exclusion -- Advanced Counting - Polya Theory -- Application: Probability -- Application: Combinatorial Designs -- Application: Graph Theory -- Appendices
Dimensions
unknown
Extent
XV, 361 p. 61 illus., 2 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319138442
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13844-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13844-2

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